A line that includes the points (- 3, - 10) and (- 4,v) has a slope of - 4. What is the value of v?
1 answer:
Answer:
The value of v with given slop and points is - 6
Step-by-step explanation:
Given as :
Let x and y be the points of a line
So, x = ( - 3 , - 10 ) And y = ( - 4 , v )
The given slop of line XY is - 4
Now, from slop equation :
Slop =
Or, - 4 =
Or, - 4 =
Or, v + 10 = ( -4 ) × (- 1 )
Or, v + 10 = 4
∴ v = 4 - 10 = - 6
Hence The value of v with given slop and points is - 6 Answer
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Answer:
The explicit form is
Step-by-step explanation:
The explicit form of a geometric sequence is given by:
where an is the nth term, a is the first term of the sequence and r is the common ratio.
In this case:
a=162
The value of the common ratio is obtained by dividing one term by the previous term.
For the first and second terms:
108/162=2/3
For the second and third terms (In order to prove that 2/3 is the common ratio)
72/108=2/3
Therefore:
r=2/3
Replacing a and r in the formula: